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23455400 = 2352235099
BaseRepresentation
bin101100101111…
…0011010101000
31122010122202112
41121132122220
522001033100
62154421452
7403240043
oct131363250
948118675
1023455400
1112270431
127a31888
134b23147
143187c5a
1520d4b35
hex165e6a8

23455400 has 48 divisors (see below), whose sum is σ = 56916000. Its totient is φ = 8972480.

The previous prime is 23455387. The next prime is 23455417. The reversal of 23455400 is 455432.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2051 + ... + 7149.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 223455400 is an apocalyptic number.

23455400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28458000).

23455400 is an abundant number, since it is smaller than the sum of its proper divisors (33460600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23455400 is a wasteful number, since it uses less digits than its factorization.

23455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 23455400 is about 4843.0775339654. The cubic root of 23455400 is about 286.2513968010.

The spelling of 23455400 in words is "twenty-three million, four hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 5099 10198 20396 25495 40792 50990 101980 117277 127475 203960 234554 254950 469108 509900 586385 938216 1019800 1172770 2345540 2931925 4691080 5863850 11727700 23455400